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Finding the Third Proportional to 1,725,158,113 and 2,466,995,083

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Solution

The third proportional to 1,725,158,113 and 2,466,995,083 is: 3,527,830,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,158,113 : 2,466,995,083 = 2,466,995,083 : x
  2. Step 2: Convert to fraction form
    1,725,158,113/2,466,995,083 = 2,466,995,083/x
  3. Step 3: Cross multiply
    1,725,158,113x = 2,466,995,083 × 2,466,995,083
  4. Step 4: Simplify right side
    1,725,158,113x = 6,086,064,739,546,176,512
  5. Step 5: Solve for x
    x = 6,086,064,739,546,176,512/1,725,158,113
  6. Step 6: Final answer
    x = 3,527,830,112.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.